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Finding the Fourth Proportional to 24,523.92, 36,786.42 and 9,739.80

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Solution

The fourth proportional to 24,523.92, 36,786.42 and 9,739.80 is: 14,609.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,523.92 : 36,786.42 = 9,739.80 : x
  2. Step 2: Convert to fraction form
    24,523.92/36,786.42 = 9,739.80/x
  3. Step 3: Cross multiply
    24,523.92x = 36,786.42 × 9,739.80
  4. Step 4: Simplify right side
    24,523.92x = 358,292,373.52
  5. Step 5: Solve for x
    x = 358,292,373.52/24,523.92
  6. Step 6: Final answer
    x = 14,609.91

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.